Question

BROW

The formula below can be used to calculate the cost of postage when items are bought online from
garden centre.
Audrey places an order that costs £242.
Given that the cost of postage to her home is £0, what is the greatest possible distance between her home
and the garden centre?
p=4d-0.2c
p is the cost of postage (£)
d is the distance in miles from the garden centre
c is the cost of the order (£)
If p<0 then postage costs £0

Answer 1

The greatest possible distance between Audrey's home and the garden centre is 12.1 miles. If the postage cost (p) is less than zero, as in this case, the postage is £0.

Given the formula p = 4d - 0.2c where p is the cost of postage, d is the distance in miles, and c is the cost of the order, if p < 0, then the postage costs £0.

In this case, Audrey's order cost is £242, and the postage is £0. Substitute these values into the formula:

`\[ 0 = 4d - 0.2(242) \]`

Solve for d:

`\[ 0 = 4d - 48.4 \]\[ 4d = 48.4 \]\[ d = 12.1 \]`

Therefore, the greatest possible distance between Audrey's home and the garden centre is 12.1 miles.